Might depend on the sport being played (based on previous answers to this common question).
In baseball, the above answers are correct -- "not pulling the bat back" is NOT an offer. Treat it as any ohter HBP situation. In (some?) softball, "not pulling the bat back" IS an offer -- it's a dead ball strike (<-- less than 100% sure of this)
I think I would just go right down the line a few steps. You can't go too far because there was an R1 and a potential play at third. Rule on nay play at first and then start moving toward third for any play there -- probably only getting a few steps closer.
I especially agree with point 3 -- the purpose of the rule is to be sure the runners run 360' before scoring -- R3 did that. Since there wasn't any tag attempted, who really cares if he touches the plate? (in this situation, with all the other stuff going on).
On the OP -- isn't there some case where the ball hits the BR after a D3k? That's nothing -- and I'd use it to have nothing in the OP, assuming there wasn't any intent, of course.
*You* might do this correctly, but way too many smittys don't. Either they don't go out far enough (or stay with the play long enough to see what happens) on the trouble ball, because they are worried about getting back to the plate, or they don't come back to the plate and PU (wrongly, and without confirming) expects that they'll be there, or they say "I've got the plate" when they are still in the vicinity of first base and then try to make a long-distance call while on the run.